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Finding the Fourth Proportional to 3,382.67, 5,074.60 and 1,533.71

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Solution

The fourth proportional to 3,382.67, 5,074.60 and 1,533.71 is: 2,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.67 : 5,074.60 = 1,533.71 : x
  2. Step 2: Convert to fraction form
    3,382.67/5,074.60 = 1,533.71/x
  3. Step 3: Cross multiply
    3,382.67x = 5,074.60 × 1,533.71
  4. Step 4: Simplify right side
    3,382.67x = 7,782,964.77
  5. Step 5: Solve for x
    x = 7,782,964.77/3,382.67
  6. Step 6: Final answer
    x = 2,300.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.